Ordered pairs (x, y) and (2, 7) are equal if x - 2 and yY-7. 2. Given (x - 3, y + 2) - (4, 5), find x and y.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
**Lesson on Ordered Pairs and Equation Solving**

1. **Understanding Ordered Pairs:**
   Ordered pairs \((x, y)\) and \((2, 7)\) are equal if \(x = 2\) and \(y = 7\).

2. **Problem Solving with Equations:**
   Given \((x - 3, y + 2) = (4, 5)\), find the values of \(x\) and \(y\).

To solve:

- For the first component of the ordered pairs:
  \[ x - 3 = 4 \]
  Solve for \(x\):
  \[ x = 4 + 3 \]
  \[ x = 7 \]

- For the second component of the ordered pairs:
  \[ y + 2 = 5 \]
  Solve for \(y\):
  \[ y = 5 - 2 \]
  \[ y = 3 \]

Thus, the values are \(x = 7\) and \(y = 3\).
Transcribed Image Text:**Lesson on Ordered Pairs and Equation Solving** 1. **Understanding Ordered Pairs:** Ordered pairs \((x, y)\) and \((2, 7)\) are equal if \(x = 2\) and \(y = 7\). 2. **Problem Solving with Equations:** Given \((x - 3, y + 2) = (4, 5)\), find the values of \(x\) and \(y\). To solve: - For the first component of the ordered pairs: \[ x - 3 = 4 \] Solve for \(x\): \[ x = 4 + 3 \] \[ x = 7 \] - For the second component of the ordered pairs: \[ y + 2 = 5 \] Solve for \(y\): \[ y = 5 - 2 \] \[ y = 3 \] Thus, the values are \(x = 7\) and \(y = 3\).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education